Question

Here is a bivariate data set.

x | y |
---|---|

38.3 | 58.8 |

38.7 | 59.5 |

51.1 | 39.4 |

43.8 | 54 |

51.2 | 46.1 |

45.8 | 54.9 |

38.3 | 55.2 |

31.7 | 59.7 |

35.5 | 52.3 |

19.1 | 70.8 |

31.9 | 63.8 |

50.1 | 51.7 |

52.1 | 48.9 |

Find the correlation coefficient and report it accurate to three
decimal places.

*r* = _____

Answer #1

X | Y | X * Y | |||

38.3 | 58.8 | 2252.04 | 1466.89 | 3457.44 | |

38.7 | 59.5 | 2302.65 | 1497.69 | 3540.25 | |

51.1 | 39.4 | 2013.34 | 2611.21 | 1552.36 | |

43.8 | 54 | 2365.2 | 1918.44 | 2916 | |

51.2 | 46.1 | 2360.32 | 2621.44 | 2125.21 | |

45.8 | 54.9 | 2514.42 | 2097.64 | 3014.01 | |

38.3 | 55.2 | 2114.16 | 1466.89 | 3047.04 | |

31.7 | 59.7 | 1892.49 | 1004.89 | 3564.09 | |

35.5 | 52.3 | 1856.65 | 1260.25 | 2735.29 | |

19.1 | 70.8 | 1352.28 | 364.81 | 5012.64 | |

31.9 | 63.8 | 2035.22 | 1017.61 | 4070.44 | |

50.1 | 51.7 | 2590.17 | 2510.01 | 2672.89 | |

52.1 | 48.9 | 2547.69 | 2714.41 | 2391.21 | |

Total | 527.6 | 715.1 | 28196.63 | 22552.18 | 40098.87 |

Here is a bivariate data set.
x
y
15.9
16.9
83.4
53.9
43.8
22.2
49.4
49.3
58.4
11.8
77.4
38.8
19.6
19.5
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place.
r² = %
2. Run a regression analysis on the following bivariate set of
data with...

A gardener plants 300 sunflower seeds (of a brand called
KwikGrow) and, after 2 weeks, measures the seedlings’ heights (in
mm). These height are: 38.6 39.1 50.4 49.2 46.2 0 43.1 49.6 16.1
17.9 11.6 50.2 36.5 50.6 40.3 36.3 14.3 40.8 12.1 43.7 47.2 49.9
37.9 49.1 53 47.7 13.8 38.3 49.2 50.6 49.6 52.3 19.8 12.8 46.9 35.3
38.7 39.3 12.4 51.9 36.9 20.8 51.7 44.3 49.1 10.7 14.9 48.2 14.8 38
41.4 39.4 11.9 13.8 0 35.1...

A gardener plants 300 sunflower seeds (of a brand called
KwikGrow) and, after 2 weeks, measures the seedlings’ heights (in
mm). These heights are recorded in the file Sunflower.csv. He is
interested in testing whether the mean height of sunflowers grown
from KwikGrow seeds is greater than 33 mm two weeks after planting.
He decides to conduct a hypothesis test by assuming that the
sampling distribution of the sample mean has a normal distribution.
For the purposes of this question,...

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